A man wants to enclose a rectangular garden adjacent to a river. The length of the rectangle is two times the width. How many linear feet of the fence must he buy if he does not need fencing along the river and the perimeter of the rectangle is 240 feet?

Answer:

1.   Vertex is (-12, -101)

2.   Vertex is (4, 25)

Step-by-step explanation:

1)

[tex]y = x^{2} + 24x + 144 + 43 - 144\\ = (x + 12)^{2} - 101[/tex]

Vertex is (-12, -101)

2)

[tex]y = -x^{2} + 8x + 9\\ = -(x^{2} - 8x + 16) +9 + 16\\ = -(x - 4)^{2} + 25[/tex]

Vertex is (4, 25)

Answer:

I

Step-by-step explanation:

this its 61 ok thanks you

Answer:

Its 62

Step-by-step explanation:

Answer:

$256.80

Step-by-step explanation

Change the 20% to a decimal, .20, the multiply it by the total amount of $$$, 321, and you get $64.20. Subtract that by the total amount to get the amount left over for her to get new clothes.

Hope it helps!! :))))

Answer:

10

Step-by-step explanation:

ll

Answer:

he used 4 1/6 cup of flour for each loaf I think

Step-by-step explanation:

Answer:

lim_( 3\/(-5 + x) = 0

Step-by-step explanation:

h(x) = 1\/(x - 5)×3

{x element R : x!=5}

{h element R : h!=0}

d\/dx(3\/(x - 5)) = -3\/(x - 5)^2

integral 3\/(x - 5) dx = 3 log(x - 5) +

Answer:

A

Step-by-step explanation:

Answer:

The possible equation is; T(t) = 20 + 80·[tex]e^{(-0.094 \cdot t)}[/tex]

The horizontal asymptotes is Lim(t → ∞), T → 20°C

The vertical asymptote is Lim(t → 0) T → 100°C

Step-by-step explanation:

The given parameters are;

The temperature of the house = 20°C

The initial temperature of the tea = 100°C

The temperature of the tea after 5 minutes = 70°C

From Newton's law of cooling, is given as follows;

[tex]T(t) = T_s + (T_0 - T_s) \cdot e^{k \cdot t}[/tex]

[tex]\dfrac{dT}{dt} = -k(T - T_a)[/tex]

Where;

T(t) = The temperature after time, t =

[tex]T_s[/tex] =The room temperature = 20°C

T₀ = The initial temperature of the tea = 100°C

k = Constant

T(5) = 70°C, therefore, we have;

[tex]70 = 20 + (100 - 20) \cdot e^{k \cdot 5}[/tex]

50/80 = [tex]e^{k \cdot 5}[/tex]

5·k = ㏑(5/8)

k = ㏑(5/8)/5 ≈ -0.094

Therefore, the possible equation is given as follows;

T(t) = 20 + 80·[tex]e^{(-0.094 \cdot t)}[/tex]

The asymptotes are Lim(t → ∞), T → 20°C  and Lim(t → 0) T → 100°C

Answer:

Multiply first and add the negative sign and multiply all of it 2 times

Step-by-step explanation:

Answer:

4x +36

Step-by-step explanation:

= (2x - 6) * (2x - 6)

= 4x -12x -12x +36

= 4x +36

Answer:

The answer is 1500

Step-by-step explanation:

I multiplied 60 by 25

Answer:Its 1500

Step-by-step explanation:60 x 25

Answer:

-209

Step-by-step explanation:

Answer: y=5x+4

Step-by-step explanation:

Remember this

Slope-Intercept form: y=mx+b

m is the slope (5)

b is the y-intercept (4)

So your equation is

y=5x+4

Answer:

y = 5x + 4  

Step-by-step explanation:

y - 4 = 5(x - 0)

That is point-slope form. I'm not sure if you want it in slope-intercept form, but the slope-intercept form of the equation is -

y = 5x + 4

Answer:

7.28

Step-by-step explanation:

1.82*4= 4+3.20+.08= 7.28

Answer:

$7.28

Step-by-step explanation:

7 pencils:$1.82

28 pencils:$x

28/7=4 so multiply 1.82 by 4

$7.28

Answer:

7/12

Step-by-step explanation:

3/4 - 4/3 = 7/12 or 0.583

Answer:

use distance formula

Step-by-step explanation:

Answer:

Mrs. Sayers utilized 24 sq. ft material to build her fence

Step-by-step explanation:

length x width x height = volume

4 x 2 x 3 = 8 x 3 = 24

Answer:

1: the wooden part is 3.725 kilograms.

2: 10 Children

Answer:

1 3.725 kg of wood

2 10

Step-by-step explanation:

For question 1 you multiply the total weight by 3/4 to find the weight of the metal, you then subtract this from the total to find the weight of the wood

For question 2 you look at it as a fraction 1/3 kids + 2/3 adults equal 30, since there are twice as many adults. Then you multiply 30 by 1/3 and get 10

Answer: the first because he didn’t distribute the 2/3 with all the things in the parentheses

Step-by-step explanation: it’s supposed to be -4/3 + 2/3x the first step

Answer:

Negative

Step-by-step explanation:

Years of Factoring:

What the problem tells us is that we have:

X^2 - 4x - 3

or something along these lines. If we factor this we get:

(X-4)(X+1)

The bigger inside factor has to be negative for these problems, because the third term is negative.

The sum of the middle term must give a negative value.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that If the middle term of a quadratic trinomial is negative and the last term is negative then the sum of the middle terms must give a negative value.

What the problem tells us is that we have:

x² - 4x - 3

Something along these lines. If we factor this we get:

(x-4)(x+1)

The bigger inside factor has to be negative for these problems because the third term is negative.

Therefore, the sum of the middle term must give a negative value.

To know more about quadratic equations follow

https://brainly.com/question/1214333

#SPJ2

Answer:

872

Step-by-step explanation:

Answer:

I believe that the answer is D: 7

Answer:

y=-2/3x-3 is the equation in slope intercept form

Step-by-step explanation:

Hope this helps (:

Answer:

1a

2c

3c

4a

5d

hope this helps

Step-by-step explanation:

Answer:

1. $120

2. 8 hours

3. $15

4. $30/hr

don't know what #5 is

Answer:

2x - 9y = 23

5x - 3y = -1

Step-by-step explanation:

Answer:

open circle means less than OR greater to

closed circle means less than or equal to OR greater than or equal to

Answer:

free points

Step-by-step explanation:

Answer:

etm

Step-by-step explanation:

yc

Answer:

[tex]y= 1500+100x[/tex]

Step-by-step explanation:

Given data

Flat fee= $1500

additional fee= $100 per hour

let the number of hours be x

Hence the total charges for x hours y is given as

[tex]y= 1500+100x[/tex]